Current-induced giant vortex and asymmetric vortex confinement in microstructured superconductors

Chao, Xiaohui; Zhu, Bo; Silhanek, Alejandro; Moshchalkov, Victor

doi:10.1103/physrevb.80.054506

Cited by 12 publications

(14 citation statements)

References 42 publications

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“…In addition we scale r by e 2 h 2 /2m 2 Db. Recalling that j 2 = 2bc 2 m 2 /4p e 2 h 2 , this scaling of r is the same as in [4]. Under this scaling we obtain the dimensionless system …”

Section: Formulationmentioning

confidence: 92%

“…together with the boundary conditions 2.5 for w. This simplified version of (TDGL) has appeared in the work [4] and in this article we denote it by (STDGL). We shall discuss below the parameter regimes in which (STDGL) represents a good approximation to (TDGL) and those in which its solutions diverge in some significant way from the solutions to (TDGL).…”

Section: Formulationmentioning

confidence: 97%

See 1 more Smart Citation

Length/voltage phase diagram for a thin superconducting wire subjected to an applied voltage

Jung-Hwa

Rubinstein

Sternberg

2010

Physica C: Superconductivity

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“…In addition we scale r by e 2 h 2 /2m 2 Db. Recalling that j 2 = 2bc 2 m 2 /4p e 2 h 2 , this scaling of r is the same as in [4]. Under this scaling we obtain the dimensionless system …”

Section: Formulationmentioning

confidence: 92%

Section: Formulationmentioning

confidence: 97%

Length/voltage phase diagram for a thin superconducting wire subjected to an applied voltage

Jung-Hwa

Rubinstein

Sternberg

2010

Physica C: Superconductivity

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“…Sometimes the contour plot is supplemented by examining plots of the phase of ψ [6] when unusual features, such as a giant vortex state, are suspected. The assessment of the vortex positions in these contour fields is qualitative but sufficient to show how vortices self-organize in small simulations.…”

Section: Background and Prior Workmentioning

confidence: 99%

Detecting vortices in superconductors: Extracting one-dimensional topological singularities from a discretized complex scalar field

et al. 2015

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In type-II superconductors, the dynamics of superconducting vortices determine their transport properties. In the Ginzburg-Landau theory, vortices correspond to topological defects in the complex order parameter. Extracting their precise positions and motion from discretized numerical simulation data is an important, but challenging task. In the past, vortices have mostly been detected by analyzing the magnitude of the complex scalar field representing the order parameter and visualized by corresponding contour plots and isosurfaces. However, these methods, primarily used for small-scale simulations, blur the fine details of the vortices, scale poorly to large-scale simulations, and do not easily enable isolating and tracking individual vortices. Here we present a method for exactly finding the vortex core lines from a complex order parameter field. With this method, vortices can be easily described at a resolution even finer than the mesh itself. The precise determination of the vortex cores allows the interplay of the vortices inside a model superconductor to be visualized in higher resolution than has previously been possible. By representing the field as the set of vortices, this method also massively reduces the data footprint of the simulations and provides the data structures for further analysis and feature tracking.

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“…Until recently, numerical simulations have been limited to 2D [7,18] or small-scale 3D [9] domains. Now, large-scale 3D simulations have been implemented [28,12] in which macroscale phenomena can be observed, including collective dynamics of many vortices.…”

Section: Introductionmentioning

confidence: 99%

Extracting, Tracking, and Visualizing Magnetic Flux Vortices in 3D Complex-Valued Superconductor Simulation Data

Guo

Phillips

Peterka

et al. 2016

IEEE Trans. Visual. Comput. Graphics

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We propose a method for the vortex extraction and tracking of superconducting magnetic flux vortices for both structured and unstructured mesh data. In the Ginzburg-Landau theory, magnetic flux vortices are well-defined features in a complex-valued order parameter field, and their dynamics determine electromagnetic properties in type-II superconductors. Our method represents each vortex line (a 1D curve embedded in 3D space) as a connected graph extracted from the discretized field in both space and time. For a time-varying discrete dataset, our vortex extraction and tracking method is as accurate as the data discretization. We then apply 3D visualization and 2D event diagrams to the extraction and tracking results to help scientists understand vortex dynamics and macroscale superconductor behavior in greater detail than previously possible.

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Current-induced giant vortex and asymmetric vortex confinement in microstructured superconductors

Cited by 12 publications

References 42 publications

Length/voltage phase diagram for a thin superconducting wire subjected to an applied voltage

Length/voltage phase diagram for a thin superconducting wire subjected to an applied voltage

Detecting vortices in superconductors: Extracting one-dimensional topological singularities from a discretized complex scalar field

Extracting, Tracking, and Visualizing Magnetic Flux Vortices in 3D Complex-Valued Superconductor Simulation Data

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